What are the solutions to the equation 4w^2=-10w ?

The solutions to the equation 4w^2=-10w are w=0,w=-5/2

Find the zeros of 4w^2=-10w

The zeros of 4w^2=-10w are w=0,w=-5/2

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4 w^{2} = - 10 w

w = 0, w = - \frac{5}{2}

Solution steps

4 w^{2} = - 10 w

Move

10 w

to the left side

4 w^{2} + 10 w = 0

Factor

4 w^{2} + 10 w : 2 w (2 w + 5)

2 w (2 w + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

w = 0 or 2 w + 5 = 0

Solve

2 w + 5 = 0 : w = - \frac{5}{2}

The solutions to the quadratic equation are:

w = 0, w = - \frac{5}{2}

x, f = (x - h)^{2} + k

- 4 x^{2} + 5 x - 9 = 0

5 n^{2} - 18 n + 12 = 0

x^{2} - 10 x + 25 = 144

x, - 11 x^{2} + 132 x + 17 y^{2} - 136 y - 124 = 0

What are the solutions to the equation 4w^2=-10w ?
The solutions to the equation 4w^2=-10w are w=0,w=-5/2
Find the zeros of 4w^2=-10w
The zeros of 4w^2=-10w are w=0,w=-5/2